Answer:
66%
Step-by-step explanation: 2/3 is .66666666666666...
Answer:
1440.08 mi
Step-by-step explanation:
Pythagorean Theorem:
= 1440.08
The angles of ∠EFG and ∠GFH are 71° and 109°
<h3>What are linear pair angles?</h3>
Linear pair of angles are formed when two lines intersect each other at a single point.
In other words, a linear pair of angles is a pair of adjacent angles formed when two lines intersect each other.
Linear pair angles are supplementary. This means the sum of a linear pair angles is 180 degrees.
Therefore,
∠EFG + ∠GFH = 180
Therefore,
∠EFG = 4n + 15
∠GFH = 5n + 39
hence,
4n + 15 + 5n + 39 = 180
9n + 54 = 180
9n = 180 - 54
9n = 126
n = 126 / 9
n = 14
Hence,
∠EFG = 4n + 15 = 4(14) + 15 = 71°
∠GFH = 5n + 39 = 5(14) + 39 = 109°
learn more on linear pair angles here: brainly.com/question/28264317
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Answer:
1) x = 14°, y = 5°
2) x = 18.5°, y = 37°
Step-by-step explanation:
1) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 25°
∠MOD = ∠MOB + ∠BOD = 90°
3x + 23° + 25° = 90°
3x = 90° - 23° - 25°
x = 42°/3
x = 14°
∠LOB = ∠LOM + ∠MOB = 90°
5y + 3x + 23° = 90°
5y = 90° - 23° - 3(14°)
y = 25°/5
y = 5°
2) ∠AOC and ∠BOD are vertical angles, then ∠BOD = 16°
∠EOB = ∠EOD + ∠DOB = 90°
2y + 16° = 90°
y = (90° - 16°)/2
y = 37°
∠DOF = ∠BOF + ∠DOB = 90°
4x + 16° = 90°
x = (90° - 16°)/4
x = 18.5°
